3. In the hypothetical quasi-static heat cycle represented in the following Temperature versus Entropy

Diagram, the working substance is an ideal gas with gamma factory. The number of moles of gas

is such that nR = 4.0 J/K. In the diagram T = 500 K. Tc = 300 K, and ∆S = 1.0 J/K.

(a) In the following table ∆U is the change of internal of the gas, Q is heat transfer to the gas, and W

is work done by the gas. The row labeled 'Net' is for one complete cycle. Compute each quantity

and fill in the table with the results.

(b) Derive a symbolic expression for the efficiency of this cycle in terms of TH and TC

(c) Evaluate the efficiency when TH = 500 K and Tc = 300 K.